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How to find a quadrature formula of a specific shape?

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#numerical-methods #orthogonal-polynomials #legendre-polynomials
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Is there a representation of an inner product where monomials are orthogonal?

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#orthogonal-polynomials
5k
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Proving Bonnets' Recursion with Rodrigues' Formula

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#special-functions #orthogonal-polynomials #legendre-polynomials
295
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A "nice" orthogonal basis for translation invariant symmetric polynomials

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#orthogonal-polynomials #symmetric-polynomials #quantum-groups #symmetric-functions
463
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orthogonality of hermite polynomials when $x \rightarrow f(x)$

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#calculus #orthogonality #orthogonal-polynomials
462
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Expressing associated Legendre polynomials in terms of unassociated Legendre polynomials

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#ordinary-differential-equations #orthogonal-polynomials #legendre-polynomials
67
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Why an orthonormal polynomial set over a continuous domain is not over a discrete one?

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#orthonormal #orthogonal-polynomials
201
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Orthonormal Basis of a function

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#real-analysis #fourier-analysis #orthonormal #orthogonal-polynomials
2.7k
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orthogonal polynomials and weight functions

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#orthogonal-polynomials
661
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Prove that $T_n$ satisfy $ \sum_{k=0}^{N-1}{T_i(x_k)T_j(x_k)} = \begin{cases} 0 &: i\ne j \\ l\neq 0 &: i=j \end{cases} \,\! $

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#calculus #sequences-and-series #polynomials #special-functions #orthogonal-polynomials
337
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Cubic function: Cardano's method

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#numerical-methods #orthogonal-polynomials #cubics
388
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How to apply Zernike polynomials for circles with radius bigger than one?

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#physics #orthogonal-polynomials
116
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integration involving Hermit function

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#integration #improper-integrals #orthogonal-polynomials
181
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Simple zero of complex orthogonal polynomials

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#orthogonal-polynomials #moment-problem
644
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orthogonal polynomials in (-1,1) with a modified weight function

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#orthogonal-polynomials

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